Boundary Value Problem for the Time-Fractional Telegraph Equation with Caputo Derivatives

DOI10.1051/MMNP/201712308zbMath1388.35213arXiv1610.04912OpenAlexW2963178514MaRDI QIDQ4607556

Murat O. Mamchuev

Publication date: 14 March 2018

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.04912

zbMATH Keywords

Green functionsboundary value problemsCaputo derivativefractional telegraph equationgeneral representation of solutionGreen function method

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Integral representations of solutions to PDEs (35C15) Solutions to PDEs in closed form (35C05) Fractional ordinary differential equations (34A08) Fractional partial differential equations (35R11) Classical solutions to PDEs (35A09) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

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Cites Work

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• Modified Cauchy problem for a loaded second-order parabolic equation with constant coefficients
• Time-fractional telegraph equations and telegraph processes with Brownian time
• Time fractional advection-dispersion equation
• Solution of boundary value problems for the fractional diffusion equation by the Green function method
• The space-fractional telegraph equation and the related fractional telegraph process
• Fractional telegraph equations.
• The time fractional diffusion equation and the advection-dispersion equation

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